Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
We are given a triangle with angles $A$, $B$, and $C$, and side lengths $a$, $b$, and $c$. We are gi...
TriangleLaw of SinesTrigonometryAngle CalculationSide Length Calculation
2025/3/12
The problem asks to estimate the length of side $KL$ in the given diagram.
Distance FormulaCoordinate GeometryEstimationPythagorean Theorem
2025/3/12
The problem asks to determine if a triangle with sides 71, 52, and 40 is right, acute, or obtuse, us...
TrianglePythagorean TheoremTriangle ClassificationObtuse Triangle
2025/3/12
The problem states that the sides of a triangle are 52, 42, and 27. We need to use a modified Pythag...
TrianglesPythagorean TheoremTriangle ClassificationObtuse TriangleSide Lengths
2025/3/12
The problem states that a right triangle has a hypotenuse of 8 cm and one leg of 4 cm. We need to fi...
Pythagorean TheoremRight TrianglesSquare RootsApproximation
2025/3/12
We are given a rectangular box with dimensions 10 inches by 4 inches by 4 inches. A straw fits exact...
3D GeometryPythagorean TheoremVolumeRectangular BoxSimplifying Radicals
2025/3/12
ABCD is a kite. $AC$ is perpendicular to $DB$, and $DE = EB$. We are given $AE = 10$ cm, $BE = 8$ cm...
KitePythagorean TheoremTriangleRight TriangleGeometric Properties
2025/3/12
We are given a kite $ABCD$ where $AC$ is perpendicular to $DB$ and $DE = EB$. We are given that $AE...
KiteRight TrianglePythagorean TheoremLine SegmentsGeometric Proof
2025/3/12
$ABCD$ is a kite. $AC$ is perpendicular to $DB$, and $DE = EB$. $AD = 9$ cm, $DC = 10$ cm, and $AE =...
KitePythagorean TheoremRight TrianglesGeometric Calculation
2025/3/12
A straw is placed inside a rectangular box with dimensions 3 inches by 5 inches by 1 inch. The straw...
3D GeometryPythagorean TheoremSpace DiagonalRadicals
2025/3/12